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Just take the number of women is 100. so the number of men will be 40.
So, there are 4/5*100=80 women and 3/4*40=30 men speak Spanish.
Fraction=(80+30)/(100+40)=110/140=11/14
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There 40% as many men as women,
Men=40
Women=100
Total=140
Now,
4/5 of the women=4/5*100=80
3/4 of the men=3/4*40=30
Total=110

The group speaks Spanish=110/140=11/14
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Bunuel
\(\frac{4}{5}\) of the women and \(\frac{3}{4}\) of the men in a group speak Spanish. If there are 40% as many men as women in the group, what fraction of the group speaks Spanish?

A. 1/14
B. 3/14
C. 7/14
D. 9/14
E. 11/14

We can let the number of women = 60. Thus, the number of men is 0.4 x 60 = 24.

Since 4/5 of the women speak Spanish, 4/5 x 60 = 48 speak Spanish.

Since 3/4 of the men speak Spanish, 3/4 x 24 = 18 speak Spanish.

Thus, the fraction of the group that speaks Spanish is:

(48 + 18)/84 = 66/84 = 11/14

Answer: E
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